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2 years ago

Find the area of the triangle

Mathematics

1 answer:

Misha Larkins [42]2 years ago

8 0

Answer:

=14.69km²

Step-by-step explanation:

We can use the Hero's formula to calculate the area

A= √(s(s-a)(s-b)(s-c))

s is obtained by adding the lengths of the three sides of the triangle and then dividing by 2, a, b and c are the ides of the triangle.

S=(5+6+7)/2

A=√(9(9-6)(9-5)(9-7))

=√(9×3×4×2)

=√216

=14.69km²

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Paladinen [302]

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2 years ago

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Let point L be between M and N on MN. Given that MN=31, ML= h-15 and LN = 2h-8. Find LN.

shtirl [24]

Given that <span>point L is between M and N on MN. Then
MN = ML + LN
31 = h - 15 + 2h - 8 = 3h - 23
3h = 31 + 23 = 54
h = 54/3 = 18

Therefore, LN = 2(18) - 8 = 36 - 8 = 28.
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3 years ago

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Masteriza [31]

Answer:

(2,-5) and (2,1).

Step-by-step explanation:

We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.

A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.

Standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

where, (h,k) is center and r is the radius.

$(x-(-2))^2+(y-(-4))^2=(5)^2$

$(x+2)^2+(y+2)^2=25$

Now, put x=2.

$(2+2)^2+(y+2)^2=25$

$(4)^2+(y+2)^2=25$

$(y+2)^2=25-16$

$(y+2)^2=9$

Taking square root on both sides.

$y+2=\pm\sqrt{9}$

$y+2=\pm3$

$y+2=-3\text{ or }y+2=3$

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So, the y-coordinates of the points are -5 and 1.

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2 years ago

What's the slope of the line?

mixas84 [53]

Answer:

The slope is -1

Step-by-step explanation:

It's decreasing which means it's negative and it decreases by 1 every time x increases by 1.

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2 years ago

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coldgirl [10]

Answer:

<em>Option C.</em>

Step-by-step explanation:

If you subtract each value from the next one, you see the differences are different. Therefore, it is not linear. Now divide each value by the previous value. You get 1.7 each time.

Answer: Option C.

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3 years ago